Solve for w 32+2w = - 8 (1/2 w-1)

Step 1: Simplify both sides of the equation. 32 + 2w = - 8 (12 w - 1)

Simplify: 32 + 2w = (-8) (12 w) + (-8) (-1) (Distribute) 32 + 2w = - 4w + 8 2w + 32 = - 4w + 8

Step 2: Add 4w to both sides. 2w + 32 + 4w = - 4w + 8 + 4w 6w + 32 = 8

Step 3: Subtract 32 from both sides. 6w + 32 - 32 = 8-32 6w = - 24

Step 4: Divide both sides by 6. 6w 6 = - 24 6

Answer: w = - 4